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Finding the Fourth Proportional to 123,092.98, 184,565.61 and 56,449.63

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Solution

The fourth proportional to 123,092.98, 184,565.61 and 56,449.63 is: 84,640.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,092.98 : 184,565.61 = 56,449.63 : x
  2. Step 2: Convert to fraction form
    123,092.98/184,565.61 = 56,449.63/x
  3. Step 3: Cross multiply
    123,092.98x = 184,565.61 × 56,449.63
  4. Step 4: Simplify right side
    123,092.98x = 10,418,660,395.22
  5. Step 5: Solve for x
    x = 10,418,660,395.22/123,092.98
  6. Step 6: Final answer
    x = 84,640.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.